Implications of Dynamical Generation of Standard-Model Fermion Masses

Abstract

We point out that if quark and lepton masses arise dynamically, then in a wide class of theories the corresponding running masses $m_{f_j}(p)$ exhibit the power-law decay $m_{f_j}(p)\propto {\Lambda }_j^2/p^2$ for Euclidean momenta $p>>{\Lambda }_j$, where $f_j$ is a fermion of generation $j$, and ${\Lambda }_j$ is the maximal scale relevant for the origin of $m_{f_j}$. We estimate resultant changes in precision electroweak quantities and compare with current data. It is found that this data allows the presence of such corrections. We also note that this power-law decay renders primitively divergent fermion mass corrections finite.

arXiv comment4 pages, latex

References in corpus (17)

• Strong Dynamics and Electroweak Symmetry Breaking
• Topcolor Assisted Technicolor
• The Zero Temperature Chiral Phase Transition in SU(N) Gauge Theories
• The Physical Spectrum of Conformal SU(N) Gauge Theories
• Fermion Masses and Mixing in Extended Technicolor Models
• Neutrino Masses in Theories with Dynamical Electroweak Symmetry Breaking
• Dynamical Symmetry Breaking of Extended Gauge Symmetries
• Electroweak Precision Tests: A Concise Review
• Walking Technicolor and Electroweak Radiative Corrections
• Three-Loop Leading Top Mass Contributions to the rho Parameter
• Symmetry Breaking and Generational Mixing in Topcolor--Assisted Technicolor
• An Extended Technicolor Model
• Flavor-Changing Processes in Extended Technicolor
• Lepton Dipole Moments in Extended Technicolor Models
• CP Violation and Flavor Mixing in Technicolor Theories
• Quark Dipole Operators in Extended Technicolor Models
• Precision Electroweak Constraints on Top-Color Assisted Technicolor

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